This paper presents a procedure for designing an adaptive H∞ controller to reject sinusoidal disturbances with unknown constant frequencies. The proposed adaptive controller identifies the tonal frequencies in the disturbance and updates the controller to attenuate these frequencies. The controller design builds upon a closed-form solution for a simplified single-frequency attenuation problem. An application to optical beam jitter control illustrates the design procedure and its properties.
- Dynamic Systems and Control Division
Adaptive H∞ Vibration Control
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O’Brien, RT, Jr., & Watkins, RJ. "Adaptive H∞ Vibration Control." Proceedings of the ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control. ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control, Volume 2. Arlington, Virginia, USA. October 31–November 2, 2011. pp. 181-188. ASME. https://doi.org/10.1115/DSCC2011-5949
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